Title | Mathematical modeling of gas-liquid mixture flow |
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Authors | V. N. Petrov^{1}, V. I. Anfinogentov^{2}, S. L. Malyshev^{1}, L. A. Akhmetzyanova^{1}, S. V. Petrov^{3}^{1}Federal State Unitary Enterprise All-Russian Research Institute of Flow ^{2}Federal State Budgetary Educational Institution of Higher Education «Kazan National Research Technical University named after A. N. Tupolev-KAI)» ^{3}Ltd. "BRiZ" |

Annotation | The paper presents a mathematical flow model describing the transportation of crude oil from a licensed area to a petroleum production facility. Dissolved associated petroleum gas during transportation of oil is released into free state, forming a gas-liquid mixture, which leads to additional systemic error. The proposed method of calculation makes it possible to determine the structure of the investigated flow and to understand the physics of the formation of a systematic error |

Keywords | mathematical model, error, crude oil, free oil gas |

Citation | Petrov V. N., Anfinogentov V. I., Malyshev S. L., Akhmetzyanova L. A., Petrov S. V. ''Mathematical modeling of gas-liquid mixture flow'' [Electronic resource]. Proceedings of the XIII International scientific conference ''Differential equations and their applications in mathematical modeling''. (Saransk, July 12-16, 2017). Saransk: SVMO Publ, 2017. - pp. 131-140. Available at: http://conf.svmo.ru/files/deamm2017/papers/paper19.pdf. - Date of access: 24.06.2019. |

**© SVMO, National Research Mordovia State University, 2019**

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